Page:The Mathematical Principles of Natural Philosophy - 1729 - Volume 1.djvu/337

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greateſt angle of the inclination of the annulus ſingle, is when the nodes are in the ſyzygies. Thence in the progreſs of the nodes to the quadratures, it endeavours to diminiſh its inclination and by that endeavour impreſſes a motion upon the whole globe. The globe retains this motion impreſſed, till the annulus by a contrary endeavour deſtroys that motion and impreſſes a new motion in a contrary direction. And by this means the greateſt motion of the decreaſing inclination happens when the nodes are in the quadratures; and the leaſt angle of inclination in the octants after the quadratures; and again, the greateſt motion of reclination happens when the nodes are in the ſyzygies; and the greateſt angle of declination in the octants following. And the caſe is the ſame of a globe without this annulus, if it be a little higher or a little denſer in the æquatorial than in the polar regions. For the exceſs of that matter in the regions near the equator ſupplies the place of the annulus. And though we ſhould ſuppoſe the centripetal force of this globe to be any how increaſed ſo that all its parts were to tend downwards, as the parts of our Earth gravitate to the centre, yet the phænomena of this and the preceding corollary would ſcarce be altered; except that the places of the greateſt and leaſt height of the water will be different. For the water is now no longer ſuſtained and kept in its orbit by its centrifugal force, but by the channel in which it flows. And beſides the force LM attracts the water downwards moſt in the quadratures, and the force KL or NM - LM attracts it upwards moſt in the ſyzygies. And theſe forces conjoined ceaſe to attract the water downwards, and begin to attract it upwards in the octants before the ſyzygies; and